Dynamic Simulation of Complex Structures.

Abstract

This investigation is concerned with the dynamic simulation of complex structures consisting of an assemblage of substructures. Each of the substructures possesses a large number of degrees of freedom. In fact, in theory a continuous substructure has an infinite number of degrees of freedom, but for practical reasons each of the substructures must be simulated by a limited number of degrees of freedom. The component mode synthesis method advocates representing the substructure motion by a given number of substructure modes. In an earlier paper, the authors of this report have argued that component modes are actually not necessary and admissible functions suffice. Equally important is the treatment of discrete substructures with a large number of degrees of freedom. To simulate the motion of such substructures, these authors are advancing the concept of 'admissible vectors'. The first phase of the research has concentrated on the development of this concept and placing it on a sound mathematical foundation as well as developing methods for producing such vectors. To introduce the above ideas, a discrete model consisting of a rotating lumped-parameter cantilever beam has been used. Such a model is of special interest, as it can be regarded as simulating a helicopter blade. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1978
Accession Number
ADA062618

Entities

People

  • Arthur L. Hale
  • Leonard Meirovitch

Organizations

  • Virginia Tech

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Boundaries
  • Cantilever Beams
  • Coefficients
  • Computational Science
  • Convergence
  • Coordinate Systems
  • Differential Equations
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Helicopter Rotors
  • Mathematical Analysis
  • Mathematical Models
  • Security
  • Simulations
  • Vector Spaces

Readers

  • Graph Algorithms and Convex Optimization.
  • Theoretical Analysis.